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3087133272 = 2332671275039
BaseRepresentation
bin1011100000000001…
…1110101001011000
321222010222121201100
42320000132221120
522310301231042
61230155551400
7136334125356
oct27000365130
97863877640
103087133272
111344673a13
12721a5b560
133a27716a2
142140087d6
1513105624c
hexb801ea58

3087133272 has 96 divisors (see below), whose sum is σ = 8554291200. Its totient is φ = 1005504192.

The previous prime is 3087133249. The next prime is 3087133279. The reversal of 3087133272 is 2723317803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3087133279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610129 + ... + 615167.

It is an arithmetic number, because the mean of its divisors is an integer number (89107200).

Almost surely, 23087133272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3087133272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277145600).

3087133272 is an abundant number, since it is smaller than the sum of its proper divisors (5467157928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3087133272 is a wasteful number, since it uses less digits than its factorization.

3087133272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3087133272 is about 55561.9768546800. The cubic root of 3087133272 is about 1456.0796294955.

The spelling of 3087133272 in words is "three billion, eighty-seven million, one hundred thirty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 127 134 201 254 268 381 402 508 536 603 762 804 1016 1143 1206 1524 1608 2286 2412 3048 4572 4824 5039 8509 9144 10078 15117 17018 20156 25527 30234 34036 40312 45351 51054 60468 68072 76581 90702 102108 120936 153162 181404 204216 306324 337613 362808 612648 639953 675226 1012839 1279906 1350452 1919859 2025678 2559812 2700904 3038517 3839718 4051356 5119624 5759577 6077034 7679436 8102712 11519154 12154068 15358872 23038308 24308136 42876851 46076616 85753702 128630553 171507404 257261106 343014808 385891659 514522212 771783318 1029044424 1543566636 3087133272